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arXiv · 1110.6216

A remark on contractible Banach algebras

Narutaka Ozawa
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Abstract

It is a longstanding problem whether every contractible Banach algebra is necessarily finite-dimensional. In this note, we confirm this for Banach algebras acting on Banach spaces with the uniform approximation property. This generalizes a result of Paulsen and Smith who proved the same for Banach algebras acting on Hilbert spaces.

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Narutaka Ozawa. 2011-10-27. A remark on contractible Banach algebras. https://arxiv.org/abs/1110.6216

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